[Guest]

Tim inherited 25% more money from his father than his sister, Jane. He wants to give her some fraction of his money so that both of them end up with exactly the same amount of inheritance.

What percentage of his money should John give to Jane?

Good Luck Guys

[soop]

Tim inherited 25% more money from his father than his sister, Jane. He wants to give her some fraction of his money so that both of them end up with exactly the same amount of inheritance.

What percentage of his money should John give to Jane?

Good Luck Guys

12.5%. Am I missing something?

[Guest]

Is it roughly

33.4%

[Guest]

Suppose he got 10 and she got 8. He should give her 1, and they would both have 9. He should give her 10% of what he got.

[Guest]

1/10 is 10%

Edited August 11, 2010 by knob

[Guest]

There are two possible anwers depending on how you read it

One Possibility:

If Jane receives x% then Tim receives x+25%

x+x+25=100

Jane receives 37.5%

Tim receives 62.5%

Tim should give 12.5% of the original or 20% of what he received (12.5/62.5*100%=20%) to give them both 50%.

Second Possibility

If Jane receives x% then Tim receives 1.25x%

x+1.25x=100

Jane receives 44.4444444%

Tim receives 55.5555555%

Tim should give 5.5555555% of the original or 10% of what he received (5.555555/55.55555555*100%=10%) to give them both 50%.

[Guest]

I don't know about how much John (whoever he is) should give Jane, but Tim wishes to give a tithe to Jane.

Let T be the amount Tim inherited and J the amount his sister, Jane, inherited.

Let X be the amount Tim wishes to give to Jane.

T = (125/100)*J = (5/4)*J

(4/5)T = J

T - X = J + X

X = (T - J)/2

X = (T - (4/5)*T)/2

X = T*(1-(4/5))/2

X = T*(1/10) = T*(10/100) = T*10%

The amount should then be 10%.

[Guest]

10%

[Guest]

my answer.

John shouldn't give anything to Jane unless she is his wife, in which case he should give her everything...

Tim on the other hand should give 10% to make their inheritance even.

[Guest]

0% because John is not Jane's brother who wants to split the inheritence... Tim is . But if Tim were to split it, 10% would go to Jane.

Edited August 11, 2010 by beanzz

[Guest]

Sorry but I could help but answer both because of all the incorrect math around =D.

John should not give anything, because Tim is the one that cares.

Now if TIM is still going to give her money, he would have to give her 20% of what HE recieved to cause them to have an equal share.

tim = 62.5%

jill = 37.5%

difference = 25%

So Tim would need to give Jill 12.5% of the WHOLE which equates to 20% of what HE recieved. The easiest way to see this is to plug in numbers. I used 1000

Tim 625

jill 375

difference 250

250/2 = 125, 625 - 125 = 500, 375 + 125 = 500

Now here is where it gets tricky. You need to know what % 12.5 is of 625 NOT 1000 (reread the question, what % of HIS money)

(1000*125)/625 = 20

Edited August 11, 2010 by r1pt1de

[Guest]

Who is "John"?? It says time got 25% more than Jane....blah blah....and at the end it says how much would John give Jane.... I'm so confused....

[Guest]

Sorry but I could help but answer both because of all the incorrect math around =D.

John should not give anything, because Tim is the one that cares.

Now if TIM is still going to give her money, he would have to give her 20% of what HE recieved to cause them to have an equal share.

tim = 62.5%

jill = 37.5%

difference = 25%

So Tim would need to give Jill 12.5% of the WHOLE which equates to 20% of what HE recieved. The easiest way to see this is to plug in numbers. I used 1000

Tim 625

jill 375

difference 250

250/2 = 125, 625 - 125 = 500, 375 + 125 = 500

Now here is where it gets tricky. You need to know what % 12.5 is of 625 NOT 1000 (reread the question, what % of HIS money)

(1000*125)/625 = 20

(1000*125)/625 = 200 not 20... however 125/625=0.2 =20%

This is how I figured out 10% of Tim's money would go to his sister

Say Tim = 1.25(Jane) = 25% more than Jane

Say Tim = 75$

so, 75$ = 1.25(Jane)

or 75/1.25 = Jane = 60$

The difference of the two is 75-60 = 15$

Split 15$ equally to get 15/2 = 7.5$

Percent wise, 7.5$ of 75$ total is 7.5/75 = 0.1 = 10%

and 7.5$ of the total of all the money (135$) = 7.5/135 = 0.055 = 5.5% of the total inheritance.

Therefore Tim = 75$-7.5$ = 67.5$

and Jane = 60$+7.5$ = 67.5$

Since the inheritance = 135$

then 135/2 = 67.5$ each.

so they now have the same amount.

P.S. Her name is Jane... Not Jill...

[Guest]

John should give Jane the amount left to her in his will. Then again, someone else will handle that since he's deceased.

Edited August 11, 2010 by alphajonny

[Guest]

It depends on how you calculate 25% more but the percentage always changes depending on the dollar amount however you calculate it.

For example, if you start with Jane's amount, say $1000, then 25% more of that would make John's amount $1250. However, if you start with John's amount, say it's the same $1250, then 25% LESS of that would make Jane's amount $937.50.

Starting with John's inheritance at $1000, then Jane's would be $750, totaling $1750. To make it even, John must give Jane $125 so that they both end up with half of the total, or $875. In this case, $125 = 12.5%.

However, if you start with Jane's inheritance at $1000, then 25% more would make John's $1250 and he'd have to give her 12.5% to make it even. Starting with Jane's inheritance at $800, then 25% more would be $1000. In this case, John would have to give Jane $100 or 10% to make it even.

So, no matter how you calculate, the percentage changes depending on the dollar amount.

Edited August 11, 2010 by GabrielDante

[Guest]

i got ten percent. and i suppose you meant tim, not john, as we all are confused by?

[Guest]

John isn't supposed to give a single penny to Jane.

As for Tim, he should give 20% of what he got in order to make things even.

[Guest]

10%, as follows: John got 25% more than Jane, ie, 5/4X, where X is what Jane got. X + 5/4X = 1, the total inheritance, so Jane got X=4/9 and John got 5/9 of the total. Half of the 1/9 excess John received must be given to Jane to make their inheritances equal. Half of 1/9 is 1/18. (1/18)/(5/9) = (1/18)/(10/18) = 1/10 = 10%. Tedious, but simple.

[Guest]

edited to rethink this

Edited August 11, 2010 by DrunkMonkey

[Guest]

Tim inherited 25% more money from his father than his sister, Jane. He wants to give her some fraction of his money so that both of them end up with exactly the same amount of inheritance.

What percentage of his money should John give to Jane?

Well let's say Tim and Jane each got $100..Tim got 25% more..this would bring him to $125..now if he wanted to make the received amount even this equation would have to be used:

125/1 - 100/1 = x

x/2=j

j = Amount given to Jane

But, considering the riddle asks What percentage of John's money he should give away'; that would be up to John..and therefore we can't find a numerical answer for this question.

Poor John..NO MONEY FOR YOU!!!!

Edited August 11, 2010 by Brain Tickler

[Guest]

Tim inherited 25% more money from his father than his sister, Jane. He wants to give her some fraction of his money so that both of them end up with exactly the same amount of inheritance.

What percentage of his money should John give to Jane?

Good Luck Guys

12.5%

12.5%

[Guest]

1o%

[Guest]

If he had $125 and she had $100 he would give her $12.5 to balance. This is 10% of his original sum

[Guest]

There are two possible anwers depending on how you read it

One Possibility:

If Jane receives x% then Tim receives x+25%

x+x+25=100

Jane receives 37.5%

Tim receives 62.5%

Tim should give 12.5% of the original or 20% of what he received (12.5/62.5*100%=20%) to give them both 50%.

Second Possibility

If Jane receives x% then Tim receives 1.25x%

x+1.25x=100

Jane receives 44.4444444%

Tim receives 55.5555555%

Tim should give 5.5555555% of the original or 10% of what he received (5.555555/55.55555555*100%=10%) to give them both 50%.

[Guest]

The Problem with the 10% answer is that when you work out the Tim+25% method you are changing the percentage.

Tim inherited 25% more money from his father than his sister, Jane.

This reads to me: after its all said and done between them he has 25% more.

55.5% and 44.4% are not 25% apart. Which is why he receives 62.5% and Jane receives 37.5%.

Where:

x=Total inheritance given to Tim and Jane

t=money given Tim

j=money give Jane

P=percent of "t" such that t-t(P)=j+t(P)

These 2 equations must be satisfied under the constraints:

x=t+j

t=.25*x+j

Putting them together:

x=.25*x+2*j

.75*x=2*j

j=.375*x

Thus

t=.25*x+.375*x

t=.625*x

So:

t-t(P)=j+t(P)

t-j=2*t(P)

j+.25*x-j=2*t(P)

.25*x=2*t(P)

.125*x=t(P)

To find portion of Tim's inheritance:

(.125*x)/(.625*t)=P

Set x=100

12.5/62.5=P

P=20.0%

Check:

t-t(P)=j+t(P)

62.5-12.5=37.5+12.5

50.0=50.0

So 12.5% of the inheritance or 20.0% of Tim's portion, although as mentioned earlier the question asks for John's percentage, so who knows.

[Guest]

Tim inherited 25% more money from his father than his sister, Jane. He wants to give her some fraction of his money so that both of them end up with exactly the same amount of inheritance.

What percentage of his money should John give to Jane?

Good Luck Guys

because:

Let's say X = amount of money Jane received

Then the Amount of money Tim received = 1.25X (25% more)

Let Y = amount of money to transfer from Tim to Jane to make equal amounts.

X + Y = 1.25X - Y (add Y to Jane, subtract Y from Tim to get equal amounts)

2Y = .25X (Simplify)

Y = .125X

The amount to transfer is 12.5% ... of Jane's amount. The question asked for the percentage of Tim's amount.

Percentage == (Amount transferred) / (Total of Tim's amount)

Y / 1.25X (Substitute Variables for word problem)

.125X/1.25X (Y = .125X, substitute that in)

.1 ==> 10% (Reduce and simplify)

Edited August 11, 2010 by abmoraz